10788244594625743203744990397616364301280956528119390474446410525208919453613927903<83>

176404432623981413983792426210510313<36>
61156312424538975886085375521736943409953591431<47>

prp47 = 61156312424538975886085375521736943409953591431
prp36 = 176404432623981413983792426210510313

Yafu

639681568095004453106216882561058112785830492851377329453639721051742984463249600555444194979<93>

4058992307177405257318048530992086453039<40>
157596151873427550999982028744376309062884956638496461<54>

prp40 = 4058992307177405257318048530992086453039
prp54 = 157596151873427550999982028744376309062884956638496461

Yafu

21164456404062690676010606166285408538572466980247612159267791284886370509053445652230495836669933632489<104>

22513457397788707914545785871806610362489260838643<50>
940080238681664357225704441117508994862804734679455923<54>

N=21164456404062690676010606166285408538572466980247612159267791284886370509053445652230495836669933632489
  ( 104 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=22513457397788707914545785871806610362489260838643 (pp50)
 r2=940080238681664357225704441117508994862804734679455923 (pp54)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.00 hours.
Scaled time: 7.83 units (timescale=7.849).
Factorization parameters were as follows:
n: 21164456404062690676010606166285408538572466980247612159267791284886370509053445652230495836669933632489
m: 200000000000000000000000000000
deg: 4
c4: 580
c0: -1
skew: 0.20
# Murphy_E = 3.625e-08
type: snfs
lss: 1
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [350000, 650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 72621 x 72847
Total sieving time: 0.99 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,119.000,4,0,0,0,0,0,0,0,0,700000,700000,25,25,45,45,2.2,2.2,50000
total time: 1.00 hours.

GNFS, Msieve

34645081052042736824237871916598079801822095564066867861281655839959036881448914775372719294734643233106735273<110>

2672051474209310897237606960822401865767<40>
12965723672031652474487490628407078439377952154685309914578143627027119<71>

p40 factor: 2672051474209310897237606960822401865767
p71 factor: 12965723672031652474487490628407078439377952154685309914578143627027119

GNFS, Msieve

2359521993389270277142130689041444190185608949911009407576913297737096364098652428171878972794304602084922451055174167302313755403<130>

2382319229496001265220810059157762552495180131826781735684115819<64>
990430654370550530220676313872100837081406724999410115441483507937<66>

N=2359521993389270277142130689041444190185608949911009407576913297737096364098652428171878972794304602084922451055174167302313755403
  ( 130 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=2382319229496001265220810059157762552495180131826781735684115819 (pp64)
 r2=990430654370550530220676313872100837081406724999410115441483507937 (pp66)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.70 hours.
Scaled time: 21.24 units (timescale=7.874).
Factorization parameters were as follows:
n: 2359521993389270277142130689041444190185608949911009407576913297737096364098652428171878972794304602084922451055174167302313755403
m: 200000000000000000000000000000000
deg: 4
c4: 5800
c0: -1
skew: 0.11
# Murphy_E = 9.414e-09
type: snfs
lss: 1
rlim: 1150000
alim: 1150000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1150000/1150000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [575000, 1275001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 153893 x 154121
Total sieving time: 2.67 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,132.000,4,0,0,0,0,0,0,0,0,1150000,1150000,26,26,47,47,2.3,2.3,100000
total time: 2.70 hours.

GNFS, Msieve

764291968312274513271421909502414378364813396915525175794919851661619113516187708404008019649063365563635642716795895838307<123>

117784605462910244442400380615718283<36>
6488895261893508251160364882189294335665928562859302481250472961186198734321370057870729<88>

N=764291968312274513271421909502414378364813396915525175794919851661619113516187708404008019649063365563635642716795895838307
  ( 123 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=117784605462910244442400380615718283 (pp36)
 r2=6488895261893508251160364882189294335665928562859302481250472961186198734321370057870729 (pp88)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.04 hours.
Scaled time: 31.75 units (timescale=7.862).
Factorization parameters were as follows:
n: 764291968312274513271421909502414378364813396915525175794919851661619113516187708404008019649063365563635642716795895838307
m: 20000000000000000000000000000000000
deg: 4
c4: 29
c0: -5
skew: 0.64
# Murphy_E = 5.752e-09
type: snfs
lss: 1
rlim: 1430000
alim: 1430000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1430000/1430000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [715000, 1115001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 229298 x 229534
Total sieving time: 3.99 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,138.000,4,0,0,0,0,0,0,0,0,1430000,1430000,26,26,48,48,2.3,2.3,100000
total time: 4.04 hours.

GNFS, Msieve

3214761143643373551405007863185254091947631910402387737465629065930369884808357719707332681006599892694226452424295739114751<124>

5065850314935061880610589625916009930449<40>
634594578163050782894210439852292985685312710551516073180175405810093562946941614799<84>

N=3214761143643373551405007863185254091947631910402387737465629065930369884808357719707332681006599892694226452424295739114751
  ( 124 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=5065850314935061880610589625916009930449 (pp40)
 r2=634594578163050782894210439852292985685312710551516073180175405810093562946941614799 (pp84)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.90 hours.
Scaled time: 46.32 units (timescale=7.849).
Factorization parameters were as follows:
n: 3214761143643373551405007863185254091947631910402387737465629065930369884808357719707332681006599892694226452424295739114751
m: 20000000000000000000000000000000000
deg: 4
c4: 5800
c0: -1
skew: 0.11
# Murphy_E = 3.781e-09
type: snfs
lss: 1
rlim: 1570000
alim: 1570000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1570000/1570000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [785000, 1385001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 230299 x 230524
Total sieving time: 5.86 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,140.000,4,0,0,0,0,0,0,0,0,1570000,1570000,26,26,48,48,2.3,2.3,100000
total time: 5.90 hours.

GNFS, Msieve

3813331237611956359196869064716094154749553510585179425438733754499578306586638305705931375929616549807603447259821555222264652517869<133>

49074633576273551426085812130987161439947457340640003<53>
77704731746700472174992560786813556040881143549278037027542814016937328317932623<80>

N=3813331237611956359196869064716094154749553510585179425438733754499578306586638305705931375929616549807603447259821555222264652517869
  ( 133 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=49074633576273551426085812130987161439947457340640003 (pp53)
 r2=77704731746700472174992560786813556040881143549278037027542814016937328317932623 (pp80)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.01 hours.
Scaled time: 46.83 units (timescale=7.788).
Factorization parameters were as follows:
n: 3813331237611956359196869064716094154749553510585179425438733754499578306586638305705931375929616549807603447259821555222264652517869
m: 200000000000000000000000000000000000
deg: 4
c4: 29
c0: -5
skew: 0.64
# Murphy_E = 3.626e-09
type: snfs
lss: 1
rlim: 1670000
alim: 1670000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1670000/1670000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [835000, 1435001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 252927 x 253152
Total sieving time: 5.97 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,142.000,4,0,0,0,0,0,0,0,0,1670000,1670000,26,26,48,48,2.3,2.3,100000
total time: 6.01 hours.

GNFS, Msieve

36194930475586057178507990520638195760631188480823506901457203074938633748753762006228006485823054460750590334757299<116>

733025356619508545545042008067463481231643695706446302387<57>
49377460341216762138597563794090918330707438238135064440577<59>

N=36194930475586057178507990520638195760631188480823506901457203074938633748753762006228006485823054460750590334757299
  ( 116 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=733025356619508545545042008067463481231643695706446302387 (pp57)
 r2=49377460341216762138597563794090918330707438238135064440577 (pp59)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.14 hours.
Scaled time: 44.49 units (timescale=7.246).
Factorization parameters were as follows:
n: 36194930475586057178507990520638195760631188480823506901457203074938633748753762006228006485823054460750590334757299
m: 200000000000000000000000000000000000
deg: 4
c4: 58
c0: -1
skew: 0.36
# Murphy_E = 3.684e-09
type: snfs
lss: 1
rlim: 1690000
alim: 1690000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1690000/1690000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [845000, 1445001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 220887 x 221113
Total sieving time: 6.10 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,142.000,4,0,0,0,0,0,0,0,0,1690000,1690000,26,26,48,48,2.3,2.3,100000
total time: 6.14 hours.

GNFS, Msieve

716042698119297136868168444829429129154562614870383635678774393060180733662894922717205935853890107369431077586530833793707<123>

37849163406665149297157431898345635494037411<44>
18918322987112673927879132954306151869525029145845231296348145783480432307464537<80>

N=716042698119297136868168444829429129154562614870383635678774393060180733662894922717205935853890107369431077586530833793707
  ( 123 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=37849163406665149297157431898345635494037411 (pp44)
 r2=18918322987112673927879132954306151869525029145845231296348145783480432307464537 (pp80)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.00 hours.
Scaled time: 70.89 units (timescale=7.874).
Factorization parameters were as follows:
n: 716042698119297136868168444829429129154562614870383635678774393060180733662894922717205935853890107369431077586530833793707
m: 2000000000000000000000000000000000000
deg: 4
c4: 58
c0: -1
skew: 0.36
# Murphy_E = 2.311e-09
type: snfs
lss: 1
rlim: 1970000
alim: 1970000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1970000/1970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [985000, 1885001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 270189 x 270416
Total sieving time: 8.96 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146.000,4,0,0,0,0,0,0,0,0,1970000,1970000,26,26,49,49,2.3,2.3,100000
total time: 9.00 hours.

GNFS, Msieve

3455188174505298964920077500432313971926843097720149062973481481816878660119548297001332248334364452491428641617265158194333411669077<133>

108866091552311109077220081941500538072878225873876283031089348951<66>
31737964734823338723313764738707590796543118195982293299589452517427<68>

N=3455188174505298964920077500432313971926843097720149062973481481816878660119548297001332248334364452491428641617265158194333411669077
  ( 133 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=108866091552311109077220081941500538072878225873876283031089348951 (pp66)
 r2=31737964734823338723313764738707590796543118195982293299589452517427 (pp68)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.17 hours.
Scaled time: 48.62 units (timescale=7.880).
Factorization parameters were as follows:
n: 3455188174505298964920077500432313971926843097720149062973481481816878660119548297001332248334364452491428641617265158194333411669077
m: 200000000000000000000000000000
deg: 5
c5: 290
c0: -1
skew: 0.32
# Murphy_E = 1.665e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 327103 x 327328
Total sieving time: 6.09 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 6.17 hours.

GNFS, Msieve

18137723879743067718574566308347930936641931163403175308052871795349220654473125030536180205696845525951867680491325028588509988381434671<137>

2089377321738487410316430815166407813<37>
53017186491182335343876685718799605995499<41>
163737906242511877063400914730067832187667562077282210629033<60>

N=18137723879743067718574566308347930936641931163403175308052871795349220654473125030536180205696845525951867680491325028588509988381434671
  ( 137 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=2089377321738487410316430815166407813 (pp37)
 r2=53017186491182335343876685718799605995499 (pp41)
 r3=163737906242511877063400914730067832187667562077282210629033 (pp60)
Version: Msieve v. 1.52 (SVN 927)
Total time: 11.68 hours.
Scaled time: 91.88 units (timescale=7.868).
Factorization parameters were as follows:
n: 18137723879743067718574566308347930936641931163403175308052871795349220654473125030536180205696845525951867680491325028588509988381434671
m: 20000000000000000000000000000000000000
deg: 4
c4: 58
c0: -1
skew: 0.36
# Murphy_E = 1.443e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 2250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 360923 x 361156
Total sieving time: 11.61 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,150.000,4,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 11.68 hours.

GNFS, Msieve

221889497821818462365492897072197433539555092787621596081289365380841918251949277011021162575414444960145724088399972064664499113965323<135>

22509234707454199502803734409197946310765600504987<50>
9857709544800167229935181379590082924449220096210472559059268822871115426226144706129<85>

N=221889497821818462365492897072197433539555092787621596081289365380841918251949277011021162575414444960145724088399972064664499113965323
  ( 135 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=22509234707454199502803734409197946310765600504987 (pp50)
 r2=9857709544800167229935181379590082924449220096210472559059268822871115426226144706129 (pp85)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.15 hours.
Scaled time: 64.28 units (timescale=7.886).
Factorization parameters were as follows:
n: 221889497821818462365492897072197433539555092787621596081289365380841918251949277011021162575414444960145724088399972064664499113965323
m: 2000000000000000000000000000000
deg: 5
c5: 29
c0: -1
skew: 0.51
# Murphy_E = 1.43e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 375893 x 376119
Total sieving time: 8.08 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 8.15 hours.

GNFS, Msieve

103111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<156>

48055984430547054796262336093630083562413016919397<50>
2145645590928066758563222254173521360379281405014482010867767202361724252474635588275016823599888768210363<106>

Number: n
N=103111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111  ( 156 digits)
SNFS difficulty: 155 digits.
Divisors found:

Sat Mar 12 06:32:42 2022  p50 factor: 48055984430547054796262336093630083562413016919397
Sat Mar 12 06:32:42 2022  p106 factor: 2145645590928066758563222254173521360379281405014482010867767202361724252474635588275016823599888768210363
Sat Mar 12 06:32:42 2022  elapsed time 00:06:42 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 464x10^154-5 = 515(154)
#
n: 103111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 2000000000000000000000000000000
deg: 5
c5: 29000
c0: -1
skew: 0.13
# Murphy_E = 7.791e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 14200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1688869 hash collisions in 16997264 relations (16012622 unique)
Msieve: matrix is 507339 x 507583 (73.8 MB)

Sieving start time : 2022/03/12 05:22:31
Sieving end time  : 2022/03/12 06:16:58

Total sieving time: 0hrs 54min 27secs.
Total relation processing time: 0hrs 2min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 43sec.

Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

5142100336039213697978068096392560201253055805756134101986229713614802857497857231077290901328985827887477303062556657622230939447462520831<139>

26518832826185284864797271852677377761905396885126481<53>
193903720037097166375391158584126233484031457733606255186670454903592751977307765046351<87>

N=5142100336039213697978068096392560201253055805756134101986229713614802857497857231077290901328985827887477303062556657622230939447462520831
  ( 139 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=26518832826185284864797271852677377761905396885126481 (pp53)
 r2=193903720037097166375391158584126233484031457733606255186670454903592751977307765046351 (pp87)
Version: Msieve v. 1.52 (SVN 927)
Total time: 14.52 hours.
Scaled time: 112.66 units (timescale=7.758).
Factorization parameters were as follows:
n: 5142100336039213697978068096392560201253055805756134101986229713614802857497857231077290901328985827887477303062556657622230939447462520831
m: 20000000000000000000000000000000
deg: 5
c5: 290
c0: -1
skew: 0.32
# Murphy_E = 6.901e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 2750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 503388 x 503618
Total sieving time: 14.42 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 14.52 hours.

GNFS, Msieve

688416358957409833978715548429979750770066314634277039573677980767516842784890202333038454245539026901839669941617623983<120>

16810942282252298415917735407764046197859<41>
40950492090154098459792565465089390237297789781549732398191608682845150954624837<80>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1352858283
Step 1 took 4859ms
Step 2 took 2891ms
********** Factor found in step 2: 16810942282252298415917735407764046197859
Found prime factor of 41 digits: 16810942282252298415917735407764046197859
Prime cofactor 40950492090154098459792565465089390237297789781549732398191608682845150954624837 has 80 digits
 

GMP-ECM

83648206085724983037850075308225794906200428156325490622750863009563295027571299322964690629984137608525088503274118215227939034806847122247315743057<149>

834687336673018443150310850790690338949164898584946885040544849<63>
100215017540745853549521454995535450177139929504413483867249126876532139427011861492993<87>

Number: n
N=83648206085724983037850075308225794906200428156325490622750863009563295027571299322964690629984137608525088503274118215227939034806847122247315743057  ( 149 digits)
SNFS difficulty: 162 digits.
Divisors found:

Fri Mar 18 18:27:26 2022  p63 factor: 834687336673018443150310850790690338949164898584946885040544849
Fri Mar 18 18:27:26 2022  p87 factor: 100215017540745853549521454995535450177139929504413483867249126876532139427011861492993
Fri Mar 18 18:27:26 2022  elapsed time 00:07:20 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.287).
Factorization parameters were as follows:
#
# N = 464x10^161-5 = 515(161)
#
n: 83648206085724983037850075308225794906200428156325490622750863009563295027571299322964690629984137608525088503274118215227939034806847122247315743057
m: 200000000000000000000000000000000
deg: 5
c5: 29
c0: -1
skew: 0.51
# Murphy_E = 5.875e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1690397 hash collisions in 15531113 relations (14813075 unique)
Msieve: matrix is 422684 x 422913 (143.3 MB)

Sieving start time : 2022/03/18 17:25:23
Sieving end time  : 2022/03/18 18:17:46

Total sieving time: 0hrs 52min 23secs.

Total relation processing time: 0hrs 2min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 0sec.

Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

5785805792530116765742335783708684468512800856690654940231433475558592915348557987306041958827785741314453041648116827112255314397964369894573427407<148>

59216432780013125464270004167258635224623<41>
97706084627288728215411396182264163537344989542743734079481362374922011456462541835307496050104544617184609<107>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:779847485
Step 1 took 5875ms
Step 2 took 3438ms
********** Factor found in step 2: 59216432780013125464270004167258635224623
Found prime factor of 41 digits: 59216432780013125464270004167258635224623
Prime cofactor 97706084627288728215411396182264163537344989542743734079481362374922011456462541835307496050104544617184609 has 107 digits

GMP-ECM

982092950106061868772901502135775495147343112984144733190664128982611736124922358716118565258639237632018841217572418539264859528042316941<138>

17581558491293117040454714022544013<35>
55859265866130238617664101076039729392063975668852443790424691190622228204615693673855035789796498131457<104>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:713484685
Step 1 took 5906ms
Step 2 took 3219ms
********** Factor found in step 2: 17581558491293117040454714022544013
Found prime factor of 35 digits: 17581558491293117040454714022544013
Prime cofactor 55859265866130238617664101076039729392063975668852443790424691190622228204615693673855035789796498131457 has 104 digits

GMP-ECM

1182836801217514553178905364970988181353766598218847110216777664748641894834921894994664224497862377284115294648589118620334192477905522561<139>

2330984336088066915464665553068107650228298214224611<52>
507440905073857947146862568883433983940115379305998488845367970379145002205635487493451<87>

N=1182836801217514553178905364970988181353766598218847110216777664748641894834921894994664224497862377284115294648589118620334192477905522561
  ( 139 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=2330984336088066915464665553068107650228298214224611 (pp52)
 r2=507440905073857947146862568883433983940115379305998488845367970379145002205635487493451 (pp87)
Version: Msieve v. 1.52 (SVN 927)
Total time: 32.86 hours.
Scaled time: 256.90 units (timescale=7.819).
Factorization parameters were as follows:
n: 1182836801217514553178905364970988181353766598218847110216777664748641894834921894994664224497862377284115294648589118620334192477905522561
m: 2000000000000000000000000000000000
deg: 5
c5: 2900
c0: -1
skew: 0.20
# Murphy_E = 2.39e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2400000, 4900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 903089 x 903316
Total sieving time: 32.65 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 32.86 hours.

GNFS, Msieve

4483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657<175>

8069162961538681294570205283955372200070309<43>
555583250556232163560452158577159622281968225253097435773557774216868540625763059104929407078726442225067500071028084671514286838973<132>

Number: n
N=4483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657  ( 175 digits)
SNFS difficulty: 177 digits.
Divisors found:

Mon Mar 14 00:46:56 2022  p43 factor: 8069162961538681294570205283955372200070309
Mon Mar 14 00:46:56 2022  p132 factor: 555583250556232163560452158577159622281968225253097435773557774216868540625763059104929407078726442225067500071028084671514286838973
Mon Mar 14 00:46:56 2022  elapsed time 00:23:16 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.311).
Factorization parameters were as follows:
#
# N = 464x10^175-5 = 515(175)
#
n: 4483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657
m: 100000000000000000000000000000000000
deg: 5
c5: 464
c0: -5
skew: 0.40
# Murphy_E = 1.203e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5451928 hash collisions in 38443118 relations (34216528 unique)
Msieve: matrix is 946685 x 946933 (233.4 MB)

Sieving start time : 2022/03/13 22:15:40
Sieving end time  : 2022/03/14 00:23:07

Total sieving time: 2hrs 7min 27secs.

Total relation processing time: 0hrs 10min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 45sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

592670177902795307726345288911887896677902543377605236559849211544922146425496237221424592044886091681451285829785067466288435741162829090572682005051<150>

206022449213752304848271639951008384337976992068370651<54>
2876726202239681422193938542241316769428523092614024269343450524684739147388705022849202657274401<97>

Number: n
N=592670177902795307726345288911887896677902543377605236559849211544922146425496237221424592044886091681451285829785067466288435741162829090572682005051  ( 150 digits)
SNFS difficulty: 179 digits.
Divisors found:

Sat Apr 23 08:37:44 2022  p54 factor: 206022449213752304848271639951008384337976992068370651
Sat Apr 23 08:37:44 2022  p97 factor: 2876726202239681422193938542241316769428523092614024269343450524684739147388705022849202657274401
Sat Apr 23 08:37:44 2022  elapsed time 00:26:11 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 464x10^178-5 = 515(178)
#
n: 592670177902795307726345288911887896677902543377605236559849211544922146425496237221424592044886091681451285829785067466288435741162829090572682005051
m: 200000000000000000000000000000000000
deg: 5
c5: 2900
c0: -1
skew: 0.20
# Murphy_E = 9.52e-11
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4908992 hash collisions in 31977136 relations (28612659 unique)
Msieve: matrix is 995200 x 995427 (336.6 MB)

Sieving start time : 2022/04/23 06:03:46
Sieving end time  : 2022/04/23 08:11:03

Total sieving time: 2hrs 7min 17secs.

Total relation processing time: 0hrs 15min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 7sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

292835119952427965237754155012855316943420405651557482814045775310268828775269191744955178862225680896122112032605623715962977257752437<135>

104606462693316027028638678332206037106134350242549100312927<60>
2799397976117005872584618129374991429641851319190376917498779611828811017131<76>

292835119952427965237754155012855316943420405651557482814045775310268828775269191744955178862225680896122112032605623715962977257752437=104606462693316027028638678332206037106134350242549100312927*2799397976117005872584618129374991429641851319190376917498779611828811017131

cado polynomial
n: 292835119952427965237754155012855316943420405651557482814045775310268828775269191744955178862225680896122112032605623715962977257752437
skew: 0.13
type: snfs
c0: -1
c5: 29000
Y0: 200000000000000000000000000000000000
Y1: -1
# f(x) = 29000*x^5-1
# g(x) = -x+200000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7300000
tasks.lim1 = 7300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2799397976117005872584618129374991429641851319190376917498779611828811017131 104606462693316027028638678332206037106134350242549100312927
Info:Square Root: Total cpu/real time for sqrt: 310.87/96.8215
Info:Generate Free Relations: Total cpu/real time for freerel: 119.73/32.3159
Info:Filtering - Singleton removal: Total cpu/real time for purge: 112.84/117.766
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22419230
Info:Lattice Sieving: Average J: 1894.15 for 1068684 special-q, max bucket fill -bkmult 1.0,1s:1.182080
Info:Lattice Sieving: Total time: 177248s
Info:Linear Algebra: Total cpu/real time for bwc: 20238.9/5198.89
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 12829.42, WCT time 3283.17, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35584 iterations)
Info:Linear Algebra: Lingen CPU time 223.6, WCT time 56.7
Info:Linear Algebra: Mksol: CPU time 6997.07,  WCT time 1789.21, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (17920 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.25/103.108
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 103.0s
Info:Filtering - Merging: Merged matrix has 1137163 rows and total weight 194058163 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 276.69/76.9838
Info:Filtering - Merging: Total cpu/real time for replay: 40.25/34.2828
Info:Generate Factor Base: Total cpu/real time for makefb: 3.13/1.84793
Info:Quadratic Characters: Total cpu/real time for characters: 38.12/15.132
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 214.84/182.453
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 168.39999999999998s
Info:Square Root: Total cpu/real time for sqrt: 310.87/96.8215
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 351759/94902.5
Info:root: Cleaning up computation data in /tmp/cado.hxnd3zw7
2799397976117005872584618129374991429641851319190376917498779611828811017131 104606462693316027028638678332206037106134350242549100312927

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

84534667365516004291248320735410642620675879169946472285079538898585129056906325887396107823336134959116139098766903191148201878664204250033670119524727091394428545532087<170>

401164062581766175564597335647872120174997<42>

210723430263113250072793894393284266292880566783748970171842677121896057978592640107477656252613495216922449847606525724298130971<129>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1312868082
Step 1 took 4890ms
Step 2 took 2688ms
********** Factor found in step 2: 401164062581766175564597335647872120174997
Found prime factor of 42 digits: 401164062581766175564597335647872120174997
Composite cofactor 210723430263113250072793894393284266292880566783748970171842677121896057978592640107477656252613495216922449847606525724298130971 has 129 digits
 

GMP-ECM

210723430263113250072793894393284266292880566783748970171842677121896057978592640107477656252613495216922449847606525724298130971<129>

50093924136582140465002631039275749385830228086659<50>
4206566642464890034093950840901049220743908270191170693569283511640878153458569<79>

Number: 51555_180
N = 210723430263113250072793894393284266292880566783748970171842677121896057978592640107477656252613495216922449847606525724298130971 (129 digits)
SNFS difficulty: 183 digits.
Divisors found:
r1=50093924136582140465002631039275749385830228086659 (pp50)
r2=4206566642464890034093950840901049220743908270191170693569283511640878153458569 (pp79)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 10.24 hours.
Factorization parameters were as follows:
n: 210723430263113250072793894393284266292880566783748970171842677121896057978592640107477656252613495216922449847606525724298130971
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 3
c3: 464
c0: -5
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 23343413
Relations: 4748748 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 2.77 hours.
Total relation processing time: 0.44 hours.
Pruned matrix : 4207464 x 4207709
Matrix solve time: 6.89 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: snfs,183,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000
total time: 10.24 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

1597488220284590250675922563883203279695860123454887558896968904164397501656980992663521022934476687411401<106>

4668064417441360598639481303807242354984399102201497<52>
342216404365773218416320344669001254042311412334746033<54>

4668064417441360598639481303807242354984399102201497 342216404365773218416320344669001254042311412334746033

Best polynomial is:
n: 1597488220284590250675922563883203279695860123454887558896968904164397501656980992663521022934476687411401
skew: 10416.087
c0: -668317654812274098316320
c1: -50534460302562612404
c2: -41037530795133317
c3: 654278210223
c4: 117378906
c5: 10200
Y0: -198260613597418369061
Y1: 384874201777223
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.374e-06
# f(x) = 10200*x^5+117378906*x^4+654278210223*x^3-41037530795133317*x^2-50534460302562612404*x-668317654812274098316320
# g(x) = 384874201777223*x-198260613597418369061

cado-nfs 3.0.0

502241592665826744503454379514543269851185508510536056102369100503718374459943477531994352124954860725282865159749214997751118489627580204552042959<147>

276250766983710885328693160639296613<36>

1818064066028245266572493664071504603020330229292883484443417593945752885090732013340899172926921083280933982243<112>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3035760074
Step 1 took 3468ms
Step 2 took 2579ms
********** Factor found in step 1: 276250766983710885328693160639296613
Found prime factor of 36 digits: 276250766983710885328693160639296613
Composite cofactor 1818064066028245266572493664071504603020330229292883484443417593945752885090732013340899172926921083280933982243 has 112 digits

GMP-ECM

1818064066028245266572493664071504603020330229292883484443417593945752885090732013340899172926921083280933982243<112>

1305388260636020959787092268770493663<37>
1392738176718729333971275724894934422871014575401783293368442984274005817661<76>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3074042959
Step 1 took 3516ms
Step 2 took 2578ms
********** Factor found in step 2: 1305388260636020959787092268770493663
Found prime factor of 37 digits: 1305388260636020959787092268770493663
Prime cofactor 1392738176718729333971275724894934422871014575401783293368442984274005817661 has 76 digits
 

GMP-ECM

22775141541720736957903755040372777823276156757203058328907829456607162545928772633489678045297587804927876260159945723067474176078035564354630266509564592921<158>

46757782111750598832094489890080930006165756833979<50>
487087721297139210307026616764025065794372921413452362818615172239505978632033600388652257077195026356951099<108>

Number: n
N=22775141541720736957903755040372777823276156757203058328907829456607162545928772633489678045297587804927876260159945723067474176078035564354630266509564592921  ( 158 digits)
SNFS difficulty: 184 digits.
Divisors found:

Sun Mar 27 15:12:26 2022  p50 factor: 46757782111750598832094489890080930006165756833979
Sun Mar 27 15:12:26 2022  p108 factor: 487087721297139210307026616764025065794372921413452362818615172239505978632033600388652257077195026356951099
Sun Mar 27 15:12:26 2022  elapsed time 00:24:23 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 464x10^183-5 = 515(183)
#
n: 22775141541720736957903755040372777823276156757203058328907829456607162545928772633489678045297587804927876260159945723067474176078035564354630266509564592921
m: 2000000000000000000000000000000000000
deg: 5
c5: 2900
c0: -1
skew: 0.20
# Murphy_E = 5.969e-11
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3612296 hash collisions in 31672571 relations (29985983 unique)
Msieve: matrix is 981802 x 982028 (337.2 MB)

Sieving start time : 2022/03/27 11:36:18
Sieving end time  : 2022/03/27 14:47:31

Total sieving time: 3hrs 11min 13secs.

Total relation processing time: 0hrs 15min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 8sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

173786901735408716892144938103367733104727426568588639072147412113232428563452582858645762752332301708535914915567028729120096356581<132>

110913641503692002575742178230329523200543<42>
396607991795066563495752534478801418510719909<45>
3950668733781564163513639787206886817110760863<46>

173786901735408716892144938103367733104727426568588639072147412113232428563452582858645762752332301708535914915567028729120096356581=110913641503692002575742178230329523200543*396607991795066563495752534478801418510719909*3950668733781564163513639787206886817110760863

cado polynomial
n: 173786901735408716892144938103367733104727426568588639072147412113232428563452582858645762752332301708535914915567028729120096356581
skew: 210722.898
c0: 3493273915369654530010589017809
c1: 36173743705877142416647230
c2: -372392406067645241417
c3: -1466226693218170
c4: 8652064724
c5: 4200
Y0: -33175278345890384182206934
Y1: 478871099989234741
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.086e-07
# f(x) = 4200*x^5+8652064724*x^4-1466226693218170*x^3-372392406067645241417*x^2+36173743705877142416647230*x+3493273915369654530010589017809
# g(x) = 478871099989234741*x-33175278345890384182206934

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3950668733781564163513639787206886817110760863 396607991795066563495752534478801418510719909 110913641503692002575742178230329523200543
Info:Square Root: Total cpu/real time for sqrt: 1491.91/441.855
Info:Filtering - Singleton removal: Total cpu/real time for purge: 243.11/275.171
Info:Linear Algebra: Total cpu/real time for bwc: 61537.5/15782.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 39465.48, WCT time 10074.74, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (60160 iterations)
Info:Linear Algebra: Lingen CPU time 382.43, WCT time 97.26
Info:Linear Algebra: Mksol: CPU time 21326.65,  WCT time 5461.21, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30208 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24736645
Info:Lattice Sieving: Average J: 7980.51 for 77940 special-q, max bucket fill -bkmult 1.0,1s:1.072060
Info:Lattice Sieving: Total time: 106277s
Info:Generate Factor Base: Total cpu/real time for makefb: 39.05/10.3517
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5933.13
Info:Polynomial Selection (root optimized): Rootsieve time: 5930.68
Info:Generate Free Relations: Total cpu/real time for freerel: 253.91/64.7391
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 104.32/121.885
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 121.60000000000001s
Info:Filtering - Merging: Merged matrix has 1920135 rows and total weight 328782419 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 515.59/144.362
Info:Filtering - Merging: Total cpu/real time for replay: 78.76/66.3073
Info:Quadratic Characters: Total cpu/real time for characters: 76.39/32.7312
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38499/38.310/46.880/50.680/0.840
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30442/37.370/42.152/47.720/1.055
Info:Polynomial Selection (size optimized): Total time: 4919.67
Info:Square Root: Total cpu/real time for sqrt: 1491.91/441.855
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 385.72/364.105
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 313.19999999999993s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 278670/48732.9
Info:root: Cleaning up computation data in /tmp/cado.q68x23cz
3950668733781564163513639787206886817110760863 396607991795066563495752534478801418510719909 110913641503692002575742178230329523200543

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

6740581868875161525080253045240511415855658601296438516515749572149883858156372790363151388650899950929314766162830915643291491277251384961499410375272397<154>

35639512126035497092947985925460399666175257357135640572557007998965387<71>
189132271088273647578325127727344797903537308093411305951909602364942583241928564231<84>

Number: n
N=6740581868875161525080253045240511415855658601296438516515749572149883858156372790363151388650899950929314766162830915643291491277251384961499410375272397  ( 154 digits)
SNFS difficulty: 187 digits.
Divisors found:

Tue Mar 29 14:03:44 2022  p71 factor: 35639512126035497092947985925460399666175257357135640572557007998965387
Tue Mar 29 14:03:44 2022  p84 factor: 189132271088273647578325127727344797903537308093411305951909602364942583241928564231
Tue Mar 29 14:03:44 2022  elapsed time 00:26:41 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 464x10^185-5 = 515(185)
#
n: 6740581868875161525080253045240511415855658601296438516515749572149883858156372790363151388650899950929314766162830915643291491277251384961499410375272397
m: 10000000000000000000000000000000000000
deg: 5
c5: 464
c0: -5
skew: 0.40
# Murphy_E = 4.727e-11
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3633418 hash collisions in 31359862 relations (29604587 unique)
Msieve: matrix is 1035004 x 1035229 (356.9 MB)

Sieving start time : 2022/03/29 09:52:47
Sieving end time  : 2022/03/29 13:36:31

Total sieving time: 3hrs 43min 44secs.

Total relation processing time: 0hrs 17min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 8sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

122807611681137771370431072323611781878840495198419591125471312580651442275573405749971850171726248876496016021724729658008090765872866466748082473363787<153>

1106221059127900409995667224391124041680412949387952105512782215578727<70>
111015434634696148706030229032263903837321453220167471162573998620201238823184614781<84>

Number: n
N=122807611681137771370431072323611781878840495198419591125471312580651442275573405749971850171726248876496016021724729658008090765872866466748082473363787  ( 153 digits)
SNFS difficulty: 187 digits.
Divisors found:

Thu Mar 31 02:04:47 2022  p70 factor: 1106221059127900409995667224391124041680412949387952105512782215578727
Thu Mar 31 02:04:47 2022  p84 factor: 111015434634696148706030229032263903837321453220167471162573998620201238823184614781
Thu Mar 31 02:04:47 2022  elapsed time 00:26:29 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 464x10^186-5 = 515(186)
#
n: 122807611681137771370431072323611781878840495198419591125471312580651442275573405749971850171726248876496016021724729658008090765872866466748082473363787
m: 20000000000000000000000000000000000000
deg: 5
c5: 29
c0: -1
skew: 0.51
# Murphy_E = 5.849e-11
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3404925 hash collisions in 31014429 relations (29514379 unique)
Msieve: matrix is 988815 x 989041 (342.1 MB)

Sieving start time : 2022/03/30 22:21:23
Sieving end time  : 2022/03/31 01:37:44

Total sieving time: 3hrs 16min 21secs.

Total relation processing time: 0hrs 15min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 1sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

103111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<189>

488553347148151061239026513903756263<36>
211053944698168745173686422641070149744086500363667433568534957904850788847333086540892267257858999589453639284498626883229431364638406129511975982827297<153>

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 103111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (189 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:455590981
Step 1 took 11125ms
Step 2 took 7000ms
********** Factor found in step 2: 488553347148151061239026513903756263
Found probable prime factor of 36 digits: 488553347148151061239026513903756263
Probable prime cofactor 211053944698168745173686422641070149744086500363667433568534957904850788847333086540892267257858999589453639284498626883229431364638406129511975982827297 has 153 digits

13132370211798855604180006259563881164743673784459974503276735771499363240003138540959214383200452248569815190897872250165678617<128>

8456163349044532899977008536847951150097<40>
1552993913401955532821102545183537878982959319386298627259376974309635507797664244129161<88>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3451287863
Step 1 took 4797ms
Step 2 took 2969ms
********** Factor found in step 2: 8456163349044532899977008536847951150097
Found prime factor of 40 digits: 8456163349044532899977008536847951150097
Prime cofactor 1552993913401955532821102545183537878982959319386298627259376974309635507797664244129161 has 88 digits

GMP-ECM

925596014487072588281798208430007347314797947321362658766004754628796439384956066692714933608818838200150337173126019785944882802299<132>

14254686628602612653177439688717849861<38>
64932750792979641435603451684747172846886782499025853788259313437615033859064294031946394930559<95>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3647015572
Step 1 took 4813ms
********** Factor found in step 1: 14254686628602612653177439688717849861
Found prime factor of 38 digits: 14254686628602612653177439688717849861
Prime cofactor 64932750792979641435603451684747172846886782499025853788259313437615033859064294031946394930559 has 95 digits

GMP-ECM

92113781234395173381112137939770505123069640290695907572033410195690170496085501804213163824711573365369205399331547<116>

23878877037829507397167760534270962705169<41>
3857542424983647416932747172267985682723560700841484684300414689992561381163<76>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2111417900
Step 1 took 4844ms
Step 2 took 2812ms
********** Factor found in step 2: 23878877037829507397167760534270962705169
Found prime factor of 41 digits: 23878877037829507397167760534270962705169
Prime cofactor 3857542424983647416932747172267985682723560700841484684300414689992561381163 has 76 digits
 

GMP-ECM

36520908145878452419408644841618281305617818468359227911547883385783109948068610783941402090341389242398709051571805226902568199442513764057794391464286758580184110919398244988960516851<185>

7916103865115228354522466851191894241669312952546707697495488727492647<70>
4613495321457211191470392757536725935799465606144577922123446270900062685136035038312609726705523222419626482088533<115>

Number: n
N=36520908145878452419408644841618281305617818468359227911547883385783109948068610783941402090341389242398709051571805226902568199442513764057794391464286758580184110919398244988960516851  ( 185 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sat Apr  9 15:57:52 2022  p70 factor: 7916103865115228354522466851191894241669312952546707697495488727492647
Sat Apr  9 15:57:52 2022  p115 factor: 4613495321457211191470392757536725935799465606144577922123446270900062685136035038312609726705523222419626482088533
Sat Apr  9 15:57:52 2022  elapsed time 00:57:09 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 464x10^196-5 = 515(196)
#
n: 36520908145878452419408644841618281305617818468359227911547883385783109948068610783941402090341389242398709051571805226902568199442513764057794391464286758580184110919398244988960516851
m: 2000000000000000000000000000000000000000
deg: 5
c5: 29
c0: -1
skew: 0.51
# Murphy_E = 2.254e-11
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3884872 hash collisions in 31266575 relations (29169248 unique)
Msieve: matrix is 1548218 x 1548443 (538.1 MB)

Sieving start time : 2022/04/09 09:11:04
Sieving end time  : 2022/04/09 15:00:08

Total sieving time: 5hrs 49min 4secs.

Total relation processing time: 0hrs 47min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 36sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118659] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154096] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798228)
[    0.152007] smpboot: Total of 16 processors activated (102385.82 BogoMIPS)

47845163153037497615475435530189369918384813285281941028774122366067055408617285096334792404580349455297253543274609582437525456410890961491861682108074386854953882005990956851705772869523971561<194>

2129506580551567643118893029242116843680170441222461890536194689877658994119577<79>
22467722612364517233811261809365993105172318618848746311115207680269282634994410963329119772471391217234854033411793<116>

Number: n
N=47845163153037497615475435530189369918384813285281941028774122366067055408617285096334792404580349455297253543274609582437525456410890961491861682108074386854953882005990956851705772869523971561  ( 194 digits)
SNFS difficulty: 198 digits.
Divisors found:

Wed Apr 13 03:53:17 2022  p79 factor: 2129506580551567643118893029242116843680170441222461890536194689877658994119577
Wed Apr 13 03:53:17 2022  p116 factor: 22467722612364517233811261809365993105172318618848746311115207680269282634994410963329119772471391217234854033411793
Wed Apr 13 03:53:17 2022  elapsed time 01:09:15 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 464x10^197-5 = 515(197)
#
n: 47845163153037497615475435530189369918384813285281941028774122366067055408617285096334792404580349455297253543274609582437525456410890961491861682108074386854953882005990956851705772869523971561
m: 2000000000000000000000000000000000000000
deg: 5
c5: 290
c0: -1
skew: 0.32
# Murphy_E = 1.687e-11
type: snfs
lss: 1
rlim: 14500000
alim: 14500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14500000/14500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4279770 hash collisions in 31451537 relations (28853444 unique)
Msieve: matrix is 1753228 x 1753453 (609.4 MB)

Sieving start time : 2022/04/12 19:08:06
Sieving end time  : 2022/04/13 02:43:29

Total sieving time: 7hrs 35min 23secs.

Total relation processing time: 0hrs 58min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 10sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14500000,14500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119248] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197512K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529724K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798484)
[    0.152048] smpboot: Total of 16 processors activated (102387.87 BogoMIPS)

355767591195354221860616004572891985509885198063309152667548827412812858168461740765206523627800821239978649996060446428714215392283638053444315311996995139450059<162>

975549786000536497550825384911989739318014224869033<51>
364684197875636220662992391555142425130715908228818753071164882015232083008645616354911661128466177198881623123<111>

355767591195354221860616004572891985509885198063309152667548827412812858168461740765206523627800821239978649996060446428714215392283638053444315311996995139450059=975549786000536497550825384911989739318014224869033*364684197875636220662992391555142425130715908228818753071164882015232083008645616354911661128466177198881623123

cado polynomial
n: 355767591195354221860616004572891985509885198063309152667548827412812858168461740765206523627800821239978649996060446428714215392283638053444315311996995139450059
skew: 0.40
type: snfs
c0: -5
c5: 464
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 464*x^5-5
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16700000
tasks.lim1 = 16700000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 975549786000536497550825384911989739318014224869033 364684197875636220662992391555142425130715908228818753071164882015232083008645616354911661128466177198881623123
Info:Square Root: Total cpu/real time for sqrt: 1119.98/365.192
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 941.29/1027.79
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 865.0999999999998s
Info:Square Root: Total cpu/real time for sqrt: 1119.98/365.192
Info:Generate Free Relations: Total cpu/real time for freerel: 234.83/61.0813
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 217.2/215.757
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 215.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 656.48/638.925
Info:Filtering - Merging: Merged matrix has 3679105 rows and total weight 629008341 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1072.06/293.343
Info:Filtering - Merging: Total cpu/real time for replay: 146.15/135.821
Info:Generate Factor Base: Total cpu/real time for makefb: 7.02/3.05952
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49161649
Info:Lattice Sieving: Average J: 1895.39 for 4897327 special-q, max bucket fill -bkmult 1.0,1s:1.142710
Info:Lattice Sieving: Total time: 1.33595e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 254437/65183.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 163569.11, WCT time 41718.18, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (115200 iterations)
Info:Linear Algebra: Lingen CPU time 822.4, WCT time 208.77
Info:Linear Algebra: Mksol: CPU time 88547.02,  WCT time 22643.64, iteration CPU time 0.37, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (57856 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 132.34/55.9842
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.78357e+06/736297
Info:root: Cleaning up computation data in /tmp/cado.obw848od
975549786000536497550825384911989739318014224869033 364684197875636220662992391555142425130715908228818753071164882015232083008645616354911661128466177198881623123

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

501253706443161232807943417096514601214543970256299793085746902451177369856393306311673698904985172661775000147470044374585104412945968378523185183916477025001<159>

3425573212655576029278691840001614164371844497771787287705575123257695510216581<79>
146326957658154639647497082861031288492524273709150549392913007311481188467052821<81>

Number: n
N=501253706443161232807943417096514601214543970256299793085746902451177369856393306311673698904985172661775000147470044374585104412945968378523185183916477025001  ( 159 digits)
SNFS difficulty: 205 digits.
Divisors found:

Fri Mar 15 09:37:04 2024  prp79 factor: 3425573212655576029278691840001614164371844497771787287705575123257695510216581
Fri Mar 15 09:37:04 2024  prp81 factor: 146326957658154639647497082861031288492524273709150549392913007311481188467052821
Fri Mar 15 09:37:04 2024  elapsed time 03:27:58 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
#
# N = 464×10204-5 = 51(5)204
#
n: 501253706443161232807943417096514601214543970256299793085746902451177369856393306311673698904985172661775000147470044374585104412945968378523185183916477025001
m: 20000000000000000000000000000000000000000
deg: 5
c5: 29000
c0: -1
skew: 0.13
# Murphy_E = 7.475e-12
type: snfs
lss: 1
rlim: 19000000
alim: 19000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19000000/19000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 71100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3313757 hash collisions in 19386393 relations (16508204 unique)
Msieve: matrix is 2526997 x 2527223 (711.8 MB)

Sieving start time: 2024/03/13 23:21:41
Sieving end time  : 2024/03/15 06:08:43

Total sieving time: 30hrs 47min 2secs.

Total relation processing time: 3hrs 15min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 57sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,19000000,19000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

12729048029301000425781102504116573507662872462385174100070879698415126780822508355216222168569360770999994219216093951028890249260816947098395809999999241741009282566570293314487271274540571<191>

12017306445207102647556389429543371<35>

1059226382163014886625333633411151102482768279822742314329706232523513424382420677527745514477252521097860930547574567956782758143008010260493598529297513201<157>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3561387348
Step 1 took 8770ms
Step 2 took 4378ms
********** Factor found in step 2: 12017306445207102647556389429543371
Found prime factor of 35 digits: 12017306445207102647556389429543371
Composite cofactor 1059226382163014886625333633411151102482768279822742314329706232523513424382420677527745514477252521097860930547574567956782758143008010260493598529297513201 has 157 digits

1059226382163014886625333633411151102482768279822742314329706232523513424382420677527745514477252521097860930547574567956782758143008010260493598529297513201<157>

11654087456567454062187928849677048786477200803<47>
90888830730895765333750020647362355361494569329300117087649125196118389259393041612310211419812620838857739867<110>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2091784245
Step 1 took 23985ms
Step 2 took 10218ms
********** Factor found in step 2: 11654087456567454062187928849677048786477200803
Found prime factor of 47 digits: 11654087456567454062187928849677048786477200803
Prime cofactor 90888830730895765333750020647362355361494569329300117087649125196118389259393041612310211419812620838857739867 has 110 digits
 

GMP-ECM

1002573959480095375283922108280023150204050542454256252478186292258493088890686969751271004404875509104750856181638582836262494376659797086053993455510259216971671<163>

1839297778975408146493277754828294438697245821764654757858607420245613475799583678388547501553279078431938136399314197514660684632334831110651752979905119873124195728039733<172>

3617071595884259295646233140330194087<37>
508504664676331398376360029718270538521369916754669901677918343482003174020041213919883740022571601992331556669719909122896015732337859<135>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3912479373
Step 1 took 27501ms
Step 2 took 13177ms
********** Factor found in step 2: 3617071595884259295646233140330194087
Found prime factor of 37 digits: 3617071595884259295646233140330194087
Prime cofactor 508504664676331398376360029718270538521369916754669901677918343482003174020041213919883740022571601992331556669719909122896015732337859 has 135 digits

6661679414872110582258518832089700735960649532570574296587636796794417114876922916132204447659927885958081442733147710730949458490058459540125142828494738349643003152853939<172>

62041212163992384282410515467965188837146692615536288741003362365711269623545696830682266979389491593434022882586848247015944525016562653116515275793769233914676261230097738316055447928028738300684069<200>

494466556903616319527699185302407860313197674728389733424980152069779461521656889229900307443107040287302120131928792553163147322261118837151062730116103731410881461233928504824778742200695876425987201415197387<210>

1723373824141581169625598307223360407978063742277977107640691296132203047976963544369662801435458021779434785831385803808664136512879110173413975858004771124033201<163>

113222288611229642880273744698119950906997326309868912180912687642996397163619332926264597897406206816013802669932230296858865862228074792914652919304178367001058441799446460587830219193933655959740587074953<207>

1348991760456084070695844405338936381757905667<46>
5777209639539150298642021609881648075609377761862445853<55>
14527955635605655459175021505329771678657854391193943745903549180241805757996799832185422780249497541283103<107>

Number: 51555_219
N = 113222288611229642880273744698119950906997326309868912180912687642996397163619332926264597897406206816013802669932230296858865862228074792914652919304178367001058441799446460587830219193933655959740587074953 (207 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=1348991760456084070695844405338936381757905667 (pp46)
r2=5777209639539150298642021609881648075609377761862445853 (pp55)
r3=14527955635605655459175021505329771678657854391193943745903549180241805757996799832185422780249497541283103 (pp107)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 53.61 hours.
Factorization parameters were as follows:
n: 113222288611229642880273744698119950906997326309868912180912687642996397163619332926264597897406206816013802669932230296858865862228074792914652919304178367001058441799446460587830219193933655959740587074953
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 232
c0: -25
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30118901
Relations: 8145732 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.74 hours.
Total relation processing time: 0.36 hours.
Pruned matrix : 6923785 x 6924010
Matrix solve time: 34.81 hours.
time per square root: 0.69 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 53.61 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

89020760426138068163277866251929077767413095777952474545211688354438721463058071538299318737104252103983902763185217617214461937460473799412247777576826105612538338481990473485746680446429426891<194>

101929116936431188145434503638463544274399251483<48>
6811410485057529821626164919965586231355772992700053<52>
128220062578650460643467811774733825887915925069556266909077097175220242092960125654289872730509<96>

Number: 51555_221
N = 89020760426138068163277866251929077767413095777952474545211688354438721463058071538299318737104252103983902763185217617214461937460473799412247777576826105612538338481990473485746680446429426891 (194 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=101929116936431188145434503638463544274399251483 (pp48)
r2=6811410485057529821626164919965586231355772992700053 (pp52)
r3=128220062578650460643467811774733825887915925069556266909077097175220242092960125654289872730509 (pp96)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 58.38 hours.
Factorization parameters were as follows:
n: 89020760426138068163277866251929077767413095777952474545211688354438721463058071538299318737104252103983902763185217617214461937460473799412247777576826105612538338481990473485746680446429426891
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 928
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 0
Relations: 8272110 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 15.09 hours.
Total relation processing time: 0.35 hours.
Pruned matrix : 7063764 x 7063989
Matrix solve time: 42.53 hours.
time per square root: 0.40 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 58.38 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

172880490771944924150547610132138073388513507219809719683971482170767920981692924754138978775566472362408180525981441428350537550275994016248530608975254616821942409186511595847142348827374731504302451437907400887130277<219>

254813401799861645462417415846491067768411118643539879079909581855922066277668328795066124492227389872996656485381319136621579526185293354009352233045924227163151102979989171121397794498507<189>

261072728042842928159365455412416279068881<42>

976024587899682475303422138331721703573258605792562388381156426298771289275519442765325390332395131389761312779895039362616271040317556270514333147<147>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2219178681
Step 1 took 54295ms
Step 2 took 22411ms
********** Factor found in step 2: 261072728042842928159365455412416279068881
Found prime factor of 42 digits: 261072728042842928159365455412416279068881
Composite cofactor 976024587899682475303422138331721703573258605792562388381156426298771289275519442765325390332395131389761312779895039362616271040317556270514333147 has 147 digits

976024587899682475303422138331721703573258605792562388381156426298771289275519442765325390332395131389761312779895039362616271040317556270514333147<147>

84273490118815847865244281041042841323967106659663575887<56>
11581632450769524271530870112001239732525947302834885676536491793277874853196398397257324981<92>

CADO:



STA:Wed 17 Apr 2024 02:10:22 AEST (976024587899682475303422138331721703573258605792562388381156426298771289275519442765325390332395131389761312779895039362616271040317556270514333147 - C147)



/home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 976024587899682475303422138331721703573258605792562388381156426298771289275519442765325390332395131389761312779895039362616271040317556270514333147 2>&1 | tee -a log-61



Debug:root: Looking for parameter file for c147 in directory /home/vboxuser/Math/cado-nfs/parameters/factor

Info:root: Using default parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c148

Debug:Parameters: Reading parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c148

Info:root: No database exists yet

Info:root: Created temporary directory /tmp/cado.mb7klwkp

Info:Database: Opened connection to database /tmp/cado.mb7klwkp/c148.db

Info:root: Set tasks.threads=20 based on --server-threads 20

Info:root: tasks.threads = 20 [via tasks.threads]

Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]

Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]

Info:root: tasks.linalg.bwc.threads = 20 [via tasks.threads]

Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]

Info:root: slaves.scriptpath is /home/vboxuser/Math/cado-nfs/build/Ubuntu

Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 976024587899682475303422138331721703573258605792562388381156426298771289275519442765325390332395131389761312779895039362616271040317556270514333147

Debug:root: Root parameter dictionary:

N = 976024587899682475303422138331721703573258605792562388381156426298771289275519442765325390332395131389761312779895039362616271040317556270514333147

name = c148

===

Info:Polynomial Selection (root optimized): Best polynomial is:

n: 976024587899682475303422138331721703573258605792562388381156426298771289275519442765325390332395131389761312779895039362616271040317556270514333147

skew: 776972.613

c0: 41120646471096922500282670755219480

c1: -254370788821002125257523147169

c2: 30572103107883795278338

c3: 855316220333330577

c4: 96682013470

c5: 138600

Y0: -26848086777340852610972950354

Y1: 333788709966015860399

# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=3.087e+14) = 6.315e-07

# f(x) = 138600*x^5+96682013470*x^4+855316220333330577*x^3+30572103107883795278338*x^2-254370788821002125257523147169*x+41120646471096922500282670755219480

# g(x) = 333788709966015860399*x-26848086777340852610972950354

===

Debug:Command: Process with PID 641224 finished successfully

Info:Square Root: finished

Info:Square Root: Factors: 11581632450769524271530870112001239732525947302834885676536491793277874853196398397257324981 84273490118815847865244281041042841323967106659663575887

Debug:Square Root: Exit SqrtTask.run(sqrt)

Info:Complete Factorization / Discrete logarithm: Square Root

Info:Square Root: Total cpu/real time for sqrt: 6621.09/740.002

Info:HTTP server: Got notification to stop serving Workunits

Info:Polynomial Selection (root optimized): Aggregate statistics:

Info:Polynomial Selection (root optimized): Total time: 11896.7

Info:Polynomial Selection (root optimized): Rootsieve time: 11895

Info:Lattice Sieving: Aggregate statistics:

Info:Lattice Sieving: Total number of relations: 119034068

Info:Lattice Sieving: Average J: 7860.54 for 647027 special-q, max bucket fill -bkmult 1.0,1s:1.179520

Info:Lattice Sieving: Total time: 2.5553e+06s

Info:Polynomial Selection (size optimized): Aggregate statistics:

Info:Polynomial Selection (size optimized): potential collisions: 117089

Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 81134/45.000/54.912/66.110/2.389

Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 69065/43.430/47.670/59.100/1.226

Info:Polynomial Selection (size optimized): Total time: 151303

Info:Square Root: Total cpu/real time for sqrt: 6621.09/740.002

Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2054.29/856.715

Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:

Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 783.7s

Info:Quadratic Characters: Total cpu/real time for characters: 147.86/34.4233

Info:Filtering - Singleton removal: Total cpu/real time for purge: 1159.99/219.114

Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 1430.73/4112.38

Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:

Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 4111.9s

Info:Filtering - Merging: Total cpu/real time for merge: 834.02/213.842

Info:Filtering - Merging: Total cpu/real time for replay: 63.19/56.7814

Info:Generate Factor Base: Total cpu/real time for makefb: 15.45/5.56796

Info:Generate Free Relations: Total cpu/real time for freerel: 2978.58/207.373

Info:Linear Algebra: Total cpu/real time for bwc: 120886/21077.2

Info:Linear Algebra: Aggregate statistics:

Info:Linear Algebra: Krylov: CPU time 59352.29, WCT time 12101.51, iteration CPU time 0.05, COMM 0.06, cpu-wait 0.02, comm-wait 0.01 (80000 iterations)

Info:Linear Algebra: Lingen CPU time 14687.17, WCT time 1212.87

Info:Linear Algebra: Mksol: CPU time 40333.81,  WCT time 6869.03, iteration CPU time 0.08, COMM 0.06, cpu-wait 0.02, comm-wait 0.0 (40000 iterations)

Info:HTTP server: Shutting down HTTP server

Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 4.00158e+06/296596 [3d 10:23:16]

Info:root: Cleaning up computation data in /tmp/cado.mb7klwkp

11581632450769524271530870112001239732525947302834885676536491793277874853196398397257324981 84273490118815847865244281041042841323967106659663575887



END:Sat 20 Apr 2024 12:33:42 AEST (976024587899682475303422138331721703573258605792562388381156426298771289275519442765325390332395131389761312779895039362616271040317556270514333147 - C147)

3082111308723748788426224050086985857429177238040956994110523658763855713582914490388922133906772239634181737216383893996241845042006496275240532220070272232854215850762867<172>

4357254383706535104276840132888691905999377636917723307261243268027129428624394293000719391704379501612259539208589744322397573184980377084837168857808276492099475684905039464864605762881<187>

9833875419837510119552045680586344211299883<43>

443086189084397830023486673215793136740072263478446037608801446589503644070062622309560248512935792744515643553641991847273468524923781204643907<144>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:215492750
Step 1 took 59515ms
********** Factor found in step 1: 9833875419837510119552045680586344211299883
Found prime factor of 43 digits: 9833875419837510119552045680586344211299883
Composite cofactor 443086189084397830023486673215793136740072263478446037608801446589503644070062622309560248512935792744515643553641991847273468524923781204643907 has 144 digits

443086189084397830023486673215793136740072263478446037608801446589503644070062622309560248512935792744515643553641991847273468524923781204643907<144>

8500615299946121504539516249854891883836304502456554261<55>
52124013786061603501059645144809449697632549113772079652892238686485711100355276054711287<89>

CADO:

STA:Fri 08 Mar 2024 05:52:24 AEDT (443086189084397830023486673215793136740072263478446037608801446589503644070062622309560248512935792744515643553641991847273468524923781204643907 - C144)

/home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 443086189084397830023486673215793136740072263478446037608801446589503644070062622309560248512935792744515643553641991847273468524923781204643907 2>&1 | tee -a log-45

Debug:root: Looking for parameter file for c144 in directory /home/vboxuser/Math/cado-nfs/parameters/factor
Info:root: Using default parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c145
Debug:Parameters: Reading parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c145
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.t3jjpf1n
Info:Database: Opened connection to database /tmp/cado.t3jjpf1n/c145.db
Info:root: Set tasks.threads=20 based on --server-threads 20
Info:root: tasks.threads = 20 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 20 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/vboxuser/Math/cado-nfs/build/Ubuntu
Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 443086189084397830023486673215793136740072263478446037608801446589503644070062622309560248512935792744515643553641991847273468524923781204643907
Debug:root: Root parameter dictionary:
N = 443086189084397830023486673215793136740072263478446037608801446589503644070062622309560248512935792744515643553641991847273468524923781204643907
name = c145
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 443086189084397830023486673215793136740072263478446037608801446589503644070062622309560248512935792744515643553641991847273468524923781204643907
skew: 1298549.156
c0: 73674403444413776976605929378773993
c1: 242652016210645803223676323778
c2: -301961116926331414445283
c3: -193804931059026902
c4: 55160511474
c5: 34020
Y0: -8285322369121009382237113840
Y1: 3868309476819449857
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=2.684e+14) = 5.443e-07
# f(x) = 34020*x^5+55160511474*x^4-193804931059026902*x^3-301961116926331414445283*x^2+242652016210645803223676323778*x+73674403444413776976605929378773993
# g(x) = 3868309476819449857*x-8285322369121009382237113840
===
Debug:Command: Process with PID 572122 finished successfully
Info:Square Root: finished
Info:Square Root: Factors: 8500615299946121504539516249854891883836304502456554261 52124013786061603501059645144809449697632549113772079652892238686485711100355276054711287
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 3988.82/499.704
Info:HTTP server: Got notification to stop serving Workunits
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5922.49
Info:Polynomial Selection (root optimized): Rootsieve time: 5916.58
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 85020379
Info:Lattice Sieving: Average J: 8150.34 for 351569 special-q, max bucket fill -bkmult 1.0,1s:1.141640
Info:Lattice Sieving: Total time: 1.84196e+06s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 133692
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 92268/44.210/53.581/65.620/2.366
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78626/41.840/46.519/56.830/1.251
Info:Polynomial Selection (size optimized): Total time: 91686
Info:Square Root: Total cpu/real time for sqrt: 3988.82/499.704
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1875.12/2199.55
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1954.1000000000001s
Info:Quadratic Characters: Total cpu/real time for characters: 90.21/23.2448
Info:Filtering - Singleton removal: Total cpu/real time for purge: 561.79/151.028
Info:Generate Factor Base: Total cpu/real time for makefb: 10.23/2.1818
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 702.4/3771.8
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 3771.4s
Info:Filtering - Merging: Total cpu/real time for merge: 374.83/63.9642
Info:Filtering - Merging: Total cpu/real time for replay: 46.98/41.1442
Info:Generate Free Relations: Total cpu/real time for freerel: 619.16/70.0393
Info:Linear Algebra: Total cpu/real time for bwc: 67341.7/13037.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 39347.23, WCT time 7946.35, iteration CPU time 0.05, COMM 0.04, cpu-wait 0.02, comm-wait 0.01 (68000 iterations)
Info:Linear Algebra: Lingen CPU time 366.73, WCT time 58.51
Info:Linear Algebra: Mksol: CPU time 23696.77,  WCT time 4382.11, iteration CPU time 0.06, COMM 0.04, cpu-wait 0.02, comm-wait 0.0 (36000 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.49566e+06/214640 [2d 11:37:20]
Info:root: Cleaning up computation data in /tmp/cado.t3jjpf1n
8500615299946121504539516249854891883836304502456554261 52124013786061603501059645144809449697632549113772079652892238686485711100355276054711287

END:Sun 10 Mar 2024 17:29:46 AEDT (443086189084397830023486673215793136740072263478446037608801446589503644070062622309560248512935792744515643553641991847273468524923781204643907 - C144)

252597864570142460836926523127117580916377985635022074443696941929227995528660189567131032769036130448968212424518106214551188611075718353755177132289392214884139402610299<171>

206196108385303351539411651012130728810163<42>

1225037012328727340609359745305212685100083630365387799332957951550910815758932479741448642876155924819657160054885407615871726873<130>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:812729050
Step 1 took 7820ms
********** Factor found in step 1: 206196108385303351539411651012130728810163
Found prime factor of 42 digits: 206196108385303351539411651012130728810163
Composite cofactor 1225037012328727340609359745305212685100083630365387799332957951550910815758932479741448642876155924819657160054885407615871726873 has 130 digits

1225037012328727340609359745305212685100083630365387799332957951550910815758932479741448642876155924819657160054885407615871726873<130>

80651095198472738373946004845914861109270274870597770234774349<62>
15189341314139097254608403018849107424048954177761004457242477198077<68>

80651095198472738373946004845914861109270274870597770234774349 15189341314139097254608403018849107424048954177761004457242477198077

n: 1225037012328727340609359745305212685100083630365387799332957951550910815758932479741448642876155924819657160054885407615871726873
skew: 253179.069
c0: -26486181616898305309853640299328
c1: -33039020925734415552840056
c2: 1305781316993747807142
c3: 809724657659138
c4: -6501270663
c5: 25200
Y0: -10800365469870989039159103
Y1: 320275378982056283
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.774e-07
# f(x) = 25200*x^5-6501270663*x^4+809724657659138*x^3+1305781316993747807142*x^2-33039020925734415552840056*x-26486181616898305309853640299328
# g(x) = 320275378982056283*x-10800365469870989039159103

cado-nfs 3.0.0

718548479312341455868113545084483678989235998946403175452264213387806317109664174380706125060749706131988808806871162112947232796505402669974079433340138138338094043986545940015785070049153562826155763<201>

244873247732029431528427679518897269211061263<45>
2934369049977505089882146674057733584805685738433489803307578785449447556455408871386887150727931160597655773537994447018677392256732774352443523435386401501<157>

Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Tue Nov 21 10:28:18 2023
Input number is 718548479312341455868113545084483678989235998946403175452264213387806317109664174380706125060749706131988808806871162112947232796505402669974079433340138138338094043986545940015785070049153562826155763 (201 digits)
Using mpz_mod
Using lmax = 33554432 with NTT which takes about 9600MB of memory
Using B1=4000000000-4000000000, B2=8344907294582686, polynomial x^1
P = 240705465, l = 33554432, s_1 = 16220160, k = s_2 = 5, m_1 = 3
Probability of finding a factor of n digits (assuming one exists):
20   25      30      35      40      45      50      55      60      65
0.81    0.53    0.28    0.12    0.045   0.015   0.0045  0.0012  0.00031 7.3e-05
Step 1 took 0ms
Computing F from factored S_1 took 177170ms
Computing h took 20714ms
Computing DCT-I of h took 55884ms
Multi-point evaluation 1 of 5:
Computing g_i took 67806ms
Computing g*h took 114404ms
Computing gcd of coefficients and N took 24733ms
Multi-point evaluation 2 of 5:
Computing g_i took 68880ms
Computing g*h took 113102ms
Computing gcd of coefficients and N took 24654ms
Step 2 took 668721ms
********** Factor found in step 2: 244873247732029431528427679518897269211061263
Found prime factor of 45 digits: 244873247732029431528427679518897269211061263
Prime cofactor 2934369049977505089882146674057733584805685738433489803307578785449447556455408871386887150727931160597655773537994447018677392256732774352443523435386401501 has 157 digits

GMP-ECM 7.0.6, ecm-db 0.1

1080 Ti for PM1 stage1

3569585171123791478855557075343533107450468743982417003912175274861067238052733551955188489812290856486287695003258662524840176395274133828682946338815930326752687267620323829104421451303078156128031383480786896385559<217>

64810783128010752264200633691388380291797707<44>
55077025748529222063427059050203245801941542640351737849964725703957781451691457895923573212773672563381481057170271490688065349642338070395077916821546660281143102048347237<173>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2070211384
Step 1 took 11656ms
Step 2 took 5156ms
********** Factor found in step 2: 64810783128010752264200633691388380291797707
Found prime factor of 44 digits: 64810783128010752264200633691388380291797707
Prime cofactor 55077025748529222063427059050203245801941542640351737849964725703957781451691457895923573212773672563381481057170271490688065349642338070395077916821546660281143102048347237 has 173 digits
 

GMP-ECM

3919745431195339537530532366773205357220685367004499105810657886890554433422347488264768733135638771863150915562684477973947761645259661802869071511965860148561186571153979076426734501635867<190>

1031111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<238>

2997034867421923806902275277211435653637321509193559663629600688399214135530665184256393801147239422523688646129248196098690122637764199123330144699631930152994240420630441594708362770810217363526700082815932884738128349360421347<229>

352532091835607481508120538046713211980676115207473124979128034865804890694546759569264913072075604797636139921611260596858033771244727925554473595341196490321666094172168348078884969147683924797025534243867659173804641553<222>

15051410138381985556353891578249947989849422278802070891778215846052686254668893508593111816306666372348327377924681282285751441009795025177881959104570348584003318401807345143034758336970784182210337720115149260927<215>

46390121075605342443964831426503933983<38>

324452917763495628776248385047518344349750518185259536968022291642979002784353170193816165522517499673799390545447128896920721236989863618397529531228965406655419782903454116769<177>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2668640977
Step 1 took 8172ms
********** Factor found in step 2: 46390121075605342443964831426503933983
Found prime factor of 38 digits: 46390121075605342443964831426503933983
Composite cofactor 324452917763495628776248385047518344349750518185259536968022291642979002784353170193816165522517499673799390545447128896920721236989863618397529531228965406655419782903454116769 has 177 digits

GMP-ECM

3585723972456856775165190488368995006446478555432011817776094228540446735154804869783781658614766375766598240201396135432322312324212561919902836004038932894701142070412881644034199891359791276015413490672067929285189389433529<226>

106148529085860428322736702398266711832454009613307907708847058542262723614428754505681495414978169706834717833459528320974373731802530576838452881066167346914082064339020742811321837937426439762797655601436186899064788118583665927644479<237>

357272420792966573658139947283652605133724728572770167374359865706809940763459458986138244536641111370642997194948672582113456818471979138884574305803364750168697140440206943466378336758646669273<195>

52960589177482182626887722992909716451387275246036003835542842707476317879195022889198336166379877578361351327433185430544581440799717206214131<143>

17167669909022651293684166206463259315972002539847242185960578557902373<71>
3084902578983545249884622823714843147208705743745272427973580853459336247<73>

PID833497 2022-04-13 01:18:00,712 Info:Square Root: Total cpu/real time for sqrt: 16726.9/555.485
PID833497 2022-04-13 01:18:00,712 Info:Filtering - Merging: Total cpu/real time for merge: 4644.6/94.6525
PID833497 2022-04-13 01:18:00,712 Info:Filtering - Merging: Total cpu/real time for replay: 146.07/117.83
PID833497 2022-04-13 01:18:00,712 Info:Quadratic Characters: Total cpu/real time for characters: 342.07/30.8801
PID833497 2022-04-13 01:18:00,712 Info:Lattice Sieving: Aggregate statistics:
PID833497 2022-04-13 01:18:00,712 Info:Lattice Sieving: Total number of relations: 47626644
PID833497 2022-04-13 01:18:00,712 Info:Lattice Sieving: Average J: 3791.36 for 977318 special-q, max bucket fill -bkmult 1.0,1s:1.121180
PID833497 2022-04-13 01:18:00,713 Info:Lattice Sieving: Total time: 1.50014e+06s
PID833497 2022-04-13 01:18:00,713 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 347.93/203.742
PID833497 2022-04-13 01:18:00,713 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID833497 2022-04-13 01:18:00,713 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 202.5s
PID833497 2022-04-13 01:18:00,713 Info:Square Root: Total cpu/real time for sqrt: 16726.9/555.485
PID833497 2022-04-13 01:18:00,713 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID833497 2022-04-13 01:18:00,713 Info:Polynomial Selection (size optimized): potential collisions: 77228.6
PID833497 2022-04-13 01:18:00,713 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78386/42.380/51.411/56.980/0.923
PID833497 2022-04-13 01:18:00,713 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 64404/41.400/45.911/52.120/1.049
PID833497 2022-04-13 01:18:00,713 Info:Polynomial Selection (size optimized): Total time: 80759.7
PID833497 2022-04-13 01:18:00,713 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1626.08/752.37
PID833497 2022-04-13 01:18:00,713 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID833497 2022-04-13 01:18:00,713 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 567s
PID833497 2022-04-13 01:18:00,713 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID833497 2022-04-13 01:18:00,713 Info:Polynomial Selection (root optimized): Total time: 4408.61
PID833497 2022-04-13 01:18:00,713 Info:Polynomial Selection (root optimized): Rootsieve time: 4405.76
PID833497 2022-04-13 01:18:00,714 Info:Generate Factor Base: Total cpu/real time for makefb: 30.06/1.26493
PID833497 2022-04-13 01:18:00,714 Info:Generate Free Relations: Total cpu/real time for freerel: 717.98/13.2074
PID833497 2022-04-13 01:18:00,714 Info:Linear Algebra: Total cpu/real time for bwc: 661894/15359.9
PID833497 2022-04-13 01:18:00,714 Info:Linear Algebra: Aggregate statistics:
PID833497 2022-04-13 01:18:00,714 Info:Linear Algebra: Krylov: CPU time 418352.79, WCT time 9797.66, iteration CPU time 0.07, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (106496 iterations)
PID833497 2022-04-13 01:18:00,714 Info:Linear Algebra: Lingen CPU time 23495.7, WCT time 264.68
PID833497 2022-04-13 01:18:00,714 Info:Linear Algebra: Mksol: CPU time 215038.87,  WCT time 5087.84, iteration CPU time 0.07, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (53248 iterations)
PID833497 2022-04-13 01:18:00,714 Info:Filtering - Singleton removal: Total cpu/real time for purge: 1914.24/497.739
17167669909022651293684166206463259315972002539847242185960578557902373 3084902578983545249884622823714843147208705743745272427973580853459336247

Cado-nfs

18346808412765260113566185758035602871661786220759112149814793672106238482894108448032824784346846188259610512625557571998856799311195141660038591644084162724792709823729865229404131275647004395499341628106109368630725912333523<227>

85689730109682671538566583533819654964882489507407157934451337796409477899021042346380576362993275093668355805305142856038467301175388553537201929203404416286670699722708207235785639520420850701242322140782334056858822207025311<227>

206307272843278946347847718195444409<36>

415350021008598976854673471397853406593168109569899167724163935855821232243459843164945035535357689982157274103010509404059293983570910642616240915134665844922756507333779548050434660514413079<192>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3851541697
Step 1 took 11761ms
Step 2 took 5403ms
********** Factor found in step 2: 206307272843278946347847718195444409
Found prime factor of 36 digits: 206307272843278946347847718195444409
Composite cofactor 415350021008598976854673471397853406593168109569899167724163935855821232243459843164945035535357689982157274103010509404059293983570910642616240915134665844922756507333779548050434660514413079 has 192 digits

415350021008598976854673471397853406593168109569899167724163935855821232243459843164945035535357689982157274103010509404059293983570910642616240915134665844922756507333779548050434660514413079<192>

19147488759633701544427033803489555301<38>
21692140740890805698853074674609494219767010694772944012827152596649332142531856319226343941890530758116071809460083303462982376844423229890806690476754379<155>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1290908718
Step 1 took 30334ms
Step 2 took 10864ms
********** Factor found in step 2: 19147488759633701544427033803489555301
Found probable prime factor of 38 digits: 19147488759633701544427033803489555301
Probable prime cofactor 21692140740890805698853074674609494219767010694772944012827152596649332142531856319226343941890530758116071809460083303462982376844423229890806690476754379 has 155 digits

75252514004737847195379083320044852082579680851187026565818891499762651101828261911359530055438949775062377515036017912048079652626365989191436548743957438336180434946960648293262062290787068032076439127363162067999836710980291308412497<236>

248917724090549395049524921141377660606598374471828176165874697010321764536766701730802580660877015196053064047557630420513492445345830439720844656789879357090262220736584768383069919690243028611283575525570360018988783629798676334731<234>

587502891381407443755587067970006384091<39>
423687657953927870081792951038529437185417514225581407208042266413859406076993612798689404693865547823295414277216144463828502973972774868750796176717940899559592086185600343769020535844735457041<195>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:519262342
Step 1 took 13906ms
Step 2 took 5485ms
********** Factor found in step 2: 587502891381407443755587067970006384091
Found prime factor of 39 digits: 587502891381407443755587067970006384091
Prime cofactor 423687657953927870081792951038529437185417514225581407208042266413859406076993612798689404693865547823295414277216144463828502973972774868750796176717940899559592086185600343769020535844735457041 has 195 digits
 

GMP-ECM

22263073607757353238674219488709770153505376248362358468276182414839022458628108663717415740037931809586314989331999874552777678135835514885982885302727462413358459335066076428399256001348376919034544466114421039<212>

2724438123203763040015606763326813242259020057972397208778512162215979049150519348310222786045038792589820102576114510863567952746649005720555882042398096730419056545813320550047503<181>

11147608544966070836009030781300039244144633<44>

244396644555126438900941893691655325857490974273804879196099603323388846755434733909209594365751105889742884990672573692164413032308312391<138>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3015496387
Step 1 took 30508ms
Step 2 took 10358ms
********** Factor found in step 2: 11147608544966070836009030781300039244144633
Found probable prime factor of 44 digits: 11147608544966070836009030781300039244144633
Composite cofactor 244396644555126438900941893691655325857490974273804879196099603323388846755434733909209594365751105889742884990672573692164413032308312391 has 138 digits

244396644555126438900941893691655325857490974273804879196099603323388846755434733909209594365751105889742884990672573692164413032308312391<138>

7193354415190220060575076703521574585772292009<46>
33975337575336700288150985941484979881073119424455346313424460091266499323266667544343711599<92>

244396644555126438900941893691655325857490974273804879196099603323388846755434733909209594365751105889742884990672573692164413032308312391=7193354415190220060575076703521574585772292009*33975337575336700288150985941484979881073119424455346313424460091266499323266667544343711599

cado polynomial
n: 244396644555126438900941893691655325857490974273804879196099603323388846755434733909209594365751105889742884990672573692164413032308312391
skew: 90586.236
c0: 133792459904302036996176570804
c1: -5174578314050029189439753
c2: -1415416765881414017748
c3: 3814718755840902
c4: -10768546912
c5: -302640
Y0: -240648036264236623961388365
Y1: 4031857112749269181
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 3.482e-07
# f(x) = -302640*x^5-10768546912*x^4+3814718755840902*x^3-1415416765881414017748*x^2-5174578314050029189439753*x+133792459904302036996176570804
# g(x) = 4031857112749269181*x-240648036264236623961388365

cado parameters (extracts)
tasks.lim0 = 9457107
tasks.lim1 = 12662444
tasks.lpb0 = 28
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 7193354415190220060575076703521574585772292009 33975337575336700288150985941484979881073119424455346313424460091266499323266667544343711599
Info:Square Root: Total cpu/real time for sqrt: 611.47/182.764
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 141.75/162.281
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 162.2s
Info:Linear Algebra: Total cpu/real time for bwc: 38024.2/9759.51
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 24282.36, WCT time 6202.69, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (48384 iterations)
Info:Linear Algebra: Lingen CPU time 295.53, WCT time 75.15
Info:Linear Algebra: Mksol: CPU time 13171.48,  WCT time 3377.14, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (24320 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 499.97/126.025
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66198/40.670/49.420/54.480/0.956
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54378/40.330/44.027/50.090/0.964
Info:Polynomial Selection (size optimized): Total time: 23368.9
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 380.04/322.378
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 300.29999999999995s
Info:Quadratic Characters: Total cpu/real time for characters: 59.65/24.0559
Info:Generate Factor Base: Total cpu/real time for makefb: 11.32/3.02559
Info:Filtering - Singleton removal: Total cpu/real time for purge: 167.39/178.666
Info:Square Root: Total cpu/real time for sqrt: 611.47/182.764
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6407.85
Info:Polynomial Selection (root optimized): Rootsieve time: 6405.3
Info:Filtering - Merging: Merged matrix has 1542121 rows and total weight 262435759 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 373.07/105.62
Info:Filtering - Merging: Total cpu/real time for replay: 60.31/51.1879
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32862673
Info:Lattice Sieving: Average J: 3778.69 for 627956 special-q, max bucket fill -bkmult 1.0,1s:1.166380
Info:Lattice Sieving: Total time: 234240s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 491826/49129.3
7193354415190220060575076703521574585772292009 33975337575336700288150985941484979881073119424455346313424460091266499323266667544343711599

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

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1581603922991943870169870895535304537654655718005676354322624479120822850316104483386174294500216813164156249285171236551382898424605868786093533235924566381184845728080189127615317244629128983438682152527696626644334879367568950957437<235>

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106383866141558017324499628798529011411802871108910845391465684944861878784816012280628203238230294690387803296327267210769009819835295753649987328299946624559812693948320720387921505408283539407739872475349109682577573816812776015093<234>

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224578901914247397100881430807478693300533778311259151200022963192720731796353565126300064696389979578832326248210202347986455694826177152034164181615205875411935605358879493190081615094795976613795493287570154800760870415647945428178685845143442888608760589188654048328377799<276>

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